[0.021613851,0.021621756,0.02151429,0.020993395,0.020213217,0.019404653,0.01896792,0.018825756,0.018877698,0.018891096,0.018943755,0.019053046,0.019259075,0.01939421,0.019359956,0.01919523,0.01913074,0.01935942,0.019742312,0.019873245,0.019318916,0.018275144,0.019880971,0.03293879,0.073141776,0.15264238,0.26646957,0.38276097,0.46045962,0.4750477,0.43743464,0.37957728,0.32951805,0.29726887,0.28318614,0.29299513,0.33499348,0.40812537,0.4895823,0.5473389,0.5570264,0.520164,0.45789924,0.39840254,0.3550444,0.32224873,0.28303602,0.23098533,0.18022549,0.15885635,0.18739313,0.26342708,0.36152378,0.44831657,0.4991102,0.50787824,0.4857116,0.4545537,0.43832615,0.4555947,0.51188016,0.59690666,0.68795556,0.76145697,0.8036485,0.8152376,0.80594474,0.7860542,0.7619924,0.73530626,0.70586056,0.67252856,0.63766295,0.6066444,0.5849804,0.5720174,0.560273,0.5421881,0.5153746,0.48330653,0.44962475,0.4160069,0.38175735,0.34540853,0.3045309,0.25687203,0.20267509,0.14669512,0.09683144,0.059793938,0.03756625,0.027186848,0.023769585,0.02319522,0.023448626,0.024068424,0.02548979,0.028249303,0.03406957,0.04810423,0.080404505,0.14104967,0.23218381,0.34300765,0.45583093,0.55422324,0.6266937,0.66343355,0.6577237,0.615745,0.56020665,0.5202392,0.50520104,0.49681437,0.4624877,0.3893762,0.2983894,0.23416324,0.23383386,0.30447444,0.41966304,0.53682876,0.6218818,0.6634097,0.6717827,0.6631167,0.6493122,0.6330099,0.6161566,0.6016777,0.5953831,0.5980384,0.6035362,0.5980031,0.5659932,0.49818873,0.39819607,0.28453466,0.18224458,0.11275151,0.08714792,0.10927697,0.17713298,0.2803538,0.39624348,0.49702334,0.56206876,0.5876174,0.5837033,0.5673059,0.5546281,0.5565767,0.5742841,0.59975386,0.6211448,0.6314926,0.63030934,0.6210602,0.6042523,0.57728034,0.53561217,0.47817576,0.40956995,0.3398334,0.27914104,0.23122066,0.19226165,0.15530251,0.11768508,0.0823406,0.054882552,0.038051087,0.03037143,0.027908111,0.027877048,0.030639425,0.038760237,0.054702412,0.07816409,0.10553344,0.1312033,0.14986388,0.15900517,0.1582822,0.14908591,0.132336,0.11007947,0.0853697,0.06275137,0.04551601,0.034554195,0.028332397,0.024740323,0.022429675,0.020939931,0.020194761,0.019980224,0.020012503,0.020086678,0.020217422,0.020450272,0.020757928,0.02099139,0.021146663,0.021415351,0.022096947,0.02320367,0.024287151,0.02474559,0.024367498,0.023716293,0.02363071,0.024567934,0.026196681,0.027777836,0.028750606,0.02895364,0.028659457,0.028273983,0.028177818,0.028446177,0.028844012,0.029156944,0.029328866,0.029611498,0.030054582,0.030550763,0.030691462,0.03030674,0.02947949,0.028610142,0.027969606,0.02752816,0.027017644,0.026291674,0.025503084,0.024986485,0.024897808,0.025225714,0.025677735,0.026065515,0.026238516,0.02782655,0.03467244,0.052698527,0.085921586,0.13555855,0.20102389,0.27953124,0.3605174,0.42085743,0.43631372,0.40084183,0.33928525,0.2949729,0.30268422,0.36828783,0.4666634,0.56143993,0.62289923,0.63916683,0.6104545,0.5464017,0.46291092,0.38056847,0.31473622,0.26958767,0.23986767,0.21974169,0.20735586,0.2031733,0.20581199,0.21047477,0.20986855,0.19747584,0.17073436,0.13341784,0.09420126,0.06251257,0.0445442,0.041518617,0.051596355,0.07372954,0.112456225,0.18027921,0.28880543,0.4362606,0.5966416,0.7337134,0.81997395,0.8539575,0.85140496,0.83248836,0.81035453,0.7915025,0.776973,0.7635975,0.74558306,0.71867996,0.6820445,0.6390836,0.5940369,0.55161166,0.5138738,0.4803228,0.44737586,0.4115596,0.3724015,0.33252445,0.29675716,0.26830283,0.24920507,0.2386375,0.23534872,0.2364433,0.23840672,0.23801768,0.23345225,0.2255675,0.21333016,0.19512479,0.16839623,0.13637899,0.10572023,0.08580952,0.08272583,0.09835718,0.12639315,0.1548573,0.16981298,0.16762279,0.15875316,0.16872786,0.22038563,0.32035995,0.44675317,0.56486315,0.6462875,0.686985,0.6991009,0.69841385,0.6934847,0.687826,0.6814008,0.6709118,0.6500485,0.61313564,0.55878204,0.4886327,0.4053656,0.31354156,0.22399445,0.15499178,0.12626572,0.15013067,0.22296506,0.3253264,0.42795327,0.50658256,0.55109185,0.5676282,0.56875587,0.56532496,0.56221384,0.559563,0.5539352,0.5379026,0.50298405,0.44449052,0.37030518,0.300531,0.26052642,0.26443443,0.30695227,0.3654026,0.41481447,0.4404219,0.44080496,0.42102596,0.38644528,0.34331942,0.3034091,0.28382957,0.29950574,0.3527213,0.42910862,0.50228286,0.54544014,0.5437845,0.5014326,0.43940803,0.38324404,0.34995708,0.34019908,0.34256014,0.34271827,0.33259538,0.31182387,0.28446302,0.2544516,0.22456409,0.19771583,0.17689252,0.16395503,0.15744825,0.15412961,0.15075016,0.14678967,0.1438707,0.14468573,0.151146,0.16356023,0.18063676,0.19969909,0.21818453,0.23366456,0.24411754,0.24629267,0.23666511,0.21313435,0.17776735,0.13685784,0.098149516,0.06742262,0.046535585,0.03430564,0.028323146,0.026207032,0.026178604,0.026834585,0.028966762,0.038372163,0.068457425,0.13280036,0.22981255,0.3298132,0.38739836,0.37164018,0.29186472,0.18949383,0.11045725,0.08059641,0.1018342,0.1568644,0.21568616,0.24676831,0.23320049,0.18308721,0.12146727,0.07178799,0.04289673,0.030639693,0.026911601,0.026132157,0.028240645,0.038227018,0.06568563,0.11528001,0.18154962,0.24536295,0.28908494,0.304459,0.29746723,0.27692994,0.24950089,0.21811509,0.18551058,0.1551658,0.12977393,0.11063079,0.09727954,0.08806493,0.08088997,0.07412666,0.06734204,0.060851995,0.055141557,0.05060194,0.047474127,0.04564682,0.044478267,0.043014854,0.042273674,0.046955865,0.066875696,0.109928586,0.1746763,0.24375308,0.29545525,0.3173393,0.31714916,0.31106344,0.30997306,0.31250593,0.31543028,0.3242936,0.34967828,0.3944976,0.4444323,0.47931358,0.4896758,0.48531243,0.48486593,0.49852276,0.52088976,0.53579634,0.530837,0.50494254,0.46854535,0.4352232,0.41593802,0.41741875,0.44236124,0.48794314,0.543339,0.5931836,0.6238263,0.63047975,0.61576027,0.5850653,0.53942317,0.47547314,0.39129004,0.29494438,0.20689549,0.14993577,0.13656916,0.15973672,0.19819178,0.22605248,0.22609325,0.19795477,0.16165416,0.1521204,0.20095842,0.31690234,0.47367036,0.62492484,0.729695,0.77488613,0.77225953,0.74360466,0.70642614,0.67055726,0.6391042,0.61002165,0.5782449,0.540162,0.496123,0.4506906,0.40896317,0.37464032,0.34741223,0.323606,0.297056,0.26343253,0.2229327,0.18089284,0.14453089,0.11825216,0.10184506,0.09069524,0.08039666,0.069215864,0.06030537,0.058526527,0.06788159,0.08804965,0.11522428,0.14177807,0.15904166,0.1595032,0.14398648,0.12245608,0.110117786,0.11431209,0.13212556,0.15522325,0.18478443,0.22863917,0.29288152,0.3665347,0.4300237,0.46587184,0.47304824,0.45989704,0.43798319,0.41238436,0.38440242,0.35136068,0.31119052,0.2622715,0.20691167,0.15021528,0.099931516,0.061957,0.038623694,0.027334923,0.023471372,0.022701621,0.022770546,0.02314005,0.024010792,0.02576595,0.0280706,0.03002873,0.03023865,0.02828551,0.024866117,0.02159441,0.019539779,0.019020729,0.019631825,0.020838926,0.02190643,0.022140956,0.021178491,0.019449791,0.017873975,0.017238066,0.017568747,0.018342204,0.018935526,0.019076474,0.018738693,0.018059872,0.017253334,0.016707549,0.016818495,0.017760878,0.019208843,0.020545542,0.02122812,0.02125594,0.021021219,0.02103702,0.021912575,0.024913857,0.032714393,0.049531,0.0803352,0.1283052,0.19076614,0.25679308,0.3105458,0.33982077,0.34283838,0.326192,0.2999177,0.27458844,0.26471877,0.284103,0.33674988,0.40804508,0.473188,0.5126359,0.5238974,0.5173066,0.5055713,0.49447963,0.48266086,0.46406683,0.4339254,0.39126453,0.3420365,0.29563746,0.26114625,0.24023168,0.22707985,0.21080653,0.18386482,0.14582719,0.10421205,0.068272516,0.043998126,0.031354092,0.026730502,0.025998922,0.026619166,0.0274007,0.027885698,0.027814673,0.02725695,0.026490038,0.025968699,0.026175262,0.027566312,0.030194016,0.033307236,0.035548866,0.03581342,0.034091953,0.03134131,0.028808994,0.027233819,0.026710538,0.026696349,0.026514187,0.025715224,0.02450077,0.023498164,0.023339346,0.02411589,0.025318272,0.026183136,0.02625981,0.025636187,0.024742484,0.023919841,0.023242699,0.02264792,0.022148915,0.02193485,0.02210919,0.022601819,0.023073629,0.023317775,0.023286998,0.02318459,0.02371818,0.027088055,0.038726512,0.06610476,0.11592164,0.18682456,0.26926067,0.34687865,0.40865442,0.45095977,0.48110947,0.5061326,0.5325869,0.56082815,0.59221107,0.6251456,0.6574972,0.6813261,0.6870299,0.6644921,0.6111233,0.5363799,0.46506226,0.42534018,0.43213102,0.47345105,0.5204572,0.5463004,0.54213303,0.51377755,0.47186533,0.4262619,0.3864602,0.36270642,0.3599036,0.3739326,0.39276242,0.40473643,0.40524402,0.3967799,0.38538352,0.37492004,0.36565992,0.35441205,0.33822432,0.3183082,0.30170894,0.30003476,0.32227135,0.36923206,0.43069196,0.49192786,0.54153514,0.57567525,0.59590167,0.6040268,0.6020611,0.59204173,0.57806474,0.5629709,0.54829955,0.5333465,0.5172201,0.49940467,0.48010957,0.4605557,0.44170693,0.42431846,0.4078025,0.39129925,0.37301758,0.35058448,0.32160074,0.28523633,0.2442296,0.20368741,0.16943467,0.14419855,0.12748814,0.11671551,0.109719,0.10608777,0.105558634,0.10784045,0.11035356,0.11045694,0.105275035,0.0954836,0.08383865,0.074664034,0.069770254,0.06878368,0.070407204,0.07472334,0.08262827,0.092796445,0.10073582,0.10112205,0.09274892,0.079972565,0.069086365,0.063640125,0.06244244,0.06237254,0.060793076,0.05688922,0.05073175,0.04313181,0.035311997,0.02881608,0.024526052,0.022466198,0.021804743,0.021790503,0.021890774,0.02198977,0.021948913,0.021778263,0.021519864,0.021415524,0.021524647,0.021778112,0.021823006,0.02147852,0.02072756,0.019967817,0.01961603,0.01995148,0.020748278,0.02149606,0.02164833,0.021084467,0.020076364,0.019203484,0.018872367,0.019234218,0.020070545,0.021152303,0.022274092,0.023330992,0.024093552,0.024348952,0.023983426,0.0231888,0.022236208,0.021378683,0.02068694,0.020242235,0.020117037,0.020375082,0.02091642,0.021599174,0.022402257,0.023325609,0.024161495,0.02431272,0.023446629,0.021845229,0.02039699,0.019659696,0.019511776,0.019472076,0.019346317,0.019388266,0.019757941,0.020286452,0.020556772,0.020460958,0.020232767,0.020222062,0.0204778,0.020786516,0.020910867,0.020814715,0.0206046,0.02037098,0.02017886,0.021458475,0.030115316,0.059430998,0.12591082,0.23663409,0.3764901,0.5117574,0.61073023,0.66505694,0.68967205,0.70534605,0.72061414,0.7313979,0.73044014,0.7167611,0.6951464,0.670834,0.6436339,0.6085978,0.5632808,0.5171786,0.4898256,0.49746943,0.53676325,0.5858136,0.61861944,0.62258506,0.60194606,0.5722375,0.5504556,0.54841024,0.56671745,0.5946567,0.61488265,0.6146725,0.5932172,0.56317675,0.54247904,0.5427613,0.56080693,0.578423,0.5757142,0.54439265,0.496572,0.4534929,0.431695,0.43090773,0.44023892,0.44793168,0.44982028,0.44796035,0.44612896,0.44578138,0.44329247,0.42994428,0.39514384,0.33502916,0.2589893,0.1885099,0.14436346,0.13571697,0.1585719,0.20662051,0.27585956,0.36073878,0.44523177,0.50581765,0.5214107,0.48392078,0.40075818,0.29262513,0.18676841,0.10691437,0.064923264,0.060424518,0.08765378,0.14330876,0.22487132,0.32676494,0.43401805,0.52863145,0.59582543,0.6321175,0.6422155,0.6337466,0.61247593,0.5815375,0.5440365,0.5032866,0.46286812,0.423043,0.38045657,0.33076194,0.27601984,0.22776602,0.20128687,0.20448036,0.23155229,0.26815847,0.30108806,0.32405743,0.3365061,0.33964908,0.335173,0.3248181,0.3110894,0.2961428,0.28162655,0.2680429,0.25502363,0.24168265,0.22744592,0.21273285,0.19817442,0.18360512,0.16710462,0.14659196,0.12135487,0.093474746,0.06668549,0.04515772,0.03204889,0.02955108,0.037950538,0.055528376,0.07780487,0.100253016,0.11918819,0.13330962,0.14140297,0.14260484,0.13631701,0.12344292,0.10627725,0.08750885,0.07000435,0.055491656,0.0448758,0.037437677,0.03213963,0.027908234,0.024528494,0.022066243,0.02052927,0.019559668,0.01878655,0.01808276,0.017549055,0.017296966,0.017390331,0.01777198,0.018286465,0.018635474,0.018670611,0.0184562,0.018223818,0.018060172,0.017863736,0.017520292,0.016974088,0.016272219,0.01542377,0.014591273,0.013999653,0.013871551,0.014150937,0.014581569,0.014909744,0.015083293,0.015215457,0.015399708,0.015628977,0.016525894,0.020815695,0.034777388,0.06622123,0.119359516,0.1892498,0.26423624,0.33373228,0.39663684,0.4566989,0.5145107,0.55940586,0.5774724,0.55818003,0.5018318,0.41592896,0.31573194,0.22131445,0.15254511,0.11933497,0.116173685,0.12809156,0.14086236,0.15079811,0.16451235,0.1946926,0.24922478,0.3239701,0.40140137,0.4613123,0.49271655,0.4982146,0.48767796,0.46904042,0.44537482,0.4173738,0.38863555,0.36678913,0.36005473,0.3704097,0.38850728,0.39656687,0.37726656,0.3253859,0.25106603,0.17451788,0.11377921,0.07654084,0.05948245,0.055956643,0.064204216,0.09188721,0.1486522,0.23598166,0.33730996,0.42760393,0.48565984,0.50884324,0.5066053,0.4931182,0.47577748,0.45762348,0.43852115,0.4195728,0.40166607,0.3852338,0.36944762,0.3525448,0.33309647,0.31006113,0.2845869,0.25908872,0.2371161,0.22078045,0.21022753,0.20392095,0.19996238,0.19726402,0.19497442,0.19203497,0.18638046,0.17586349,0.15899847,0.13628925,0.10998222,0.08400473,0.061813265,0.045534786,0.03476844,0.02808182,0.0238163,0.02106339,0.019244155,0.017986747,0.017068164,0.016506173,0.01633755,0.016477674,0.01669973,0.016971527,0.017349223,0.017892042,0.01834959,0.018435488,0.018008793,0.017275712,0.016560778,0.016054578,0.015706971,0.015313904,0.014788871,0.014208381,0.013797455,0.013709056,0.013978274,0.01450014,0.015108285,0.015627453,0.015935892,0.016018586,0.015970727,0.015929455,0.015989138,0.0161302,0.01630207,0.016527569,0.0171006,0.018626265,0.02205882,0.028141765,0.036923844,0.047299683,0.058240015,0.069463275,0.081471525,0.09315664,0.10151723,0.10327532,0.09837785,0.0897913,0.08119065,0.073824085,0.067279644,0.060567632,0.053801905,0.04718982,0.041436423,0.036855698,0.03379366,0.031660195,0.029788664,0.027671047,0.025683336,0.024402171,0.02418591,0.024820307,0.025686791,0.026089072,0.025529228,0.024000356,0.021923736,0.01996036,0.01859621,0.017971307,0.01782119,0.01780572,0.017710382,0.017586658,0.017459095,0.017246474,0.016769933,0.016083984,0.015413559,0.015067796,0.0152976075,0.016821638,0.021344116,0.03154643,0.0494768,0.074279554,0.10300666,0.13475159,0.17679632,0.23983581,0.32805458,0.42706037,0.5117339,0.56008816,0.5670936,0.5403053,0.49147287,0.43102,0.36962953,0.31942806,0.29023495,0.284687,0.2957803,0.31014276,0.31476846,0.30366635,0.27935585,0.24845658,0.21526565,0.17992951,0.14162146,0.102760874,0.06865542,0.0440197,0.029767068,0.023360094,0.021088893,0.020235272,0.019750878,0.019705988,0.020544184,0.022378957,0.024968104,0.027761042,0.030195596,0.03184949,0.032537986,0.032380175,0.031586308,0.030410191,0.02894383,0.027261794,0.025337035,0.023179816,0.020842819,0.018622441,0.01692611,0.016071884,0.01599668,0.016374936,0.017289886,0.019603157,0.024917617,0.033259626,0.042296913,0.047316376,0.04566209,0.038140073,0.029051213,0.021825992,0.017699873,0.015729338,0.014906485,0.014719232,0.01504569,0.015685976,0.01628122,0.016483111,0.016183214,0.015537113,0.014843647,0.01429109,0.014045282,0.014195484,0.0148148835,0.015665067,0.016355911,0.016475363,0.015964208,0.015055589,0.014142483,0.013577624,0.013608384,0.014312856,0.015436481,0.016465204,0.016926961,0.016818106,0.016515035,0.016376197,0.016363017,0.016199946,0.015724994,0.015100653,0.014653295,0.014637434,0.015026487,0.015619881,0.016661784,0.020052902,0.030463003,0.054902658,0.100239016,0.16977869,0.2598857,0.36025956,0.45560107,0.53291655,0.58486813,0.6136532,0.62536937,0.6271227,0.622637,0.6155977,0.61172295,0.618424,0.63943434,0.6698537,0.6986006,0.71468574,0.7141721,0.6993206,0.6759278,0.648735,0.621052,0.5944881,0.5698388,0.54739285,0.5260603,0.50347394,0.4751368,0.43792686,0.3913602,0.34073755,0.2926694,0.25462916,0.2292188,0.21705675,0.2123792,0.20939721,0.20174097,0.19052011,0.17909028,0.17197259,0.16777225,0.16206934,0.14960213,0.12907241,0.10373527,0.07953459,0.06177844,0.052158892,0.048925716,0.04849008,0.04813184,0.04676263,0.044763044,0.042627666,0.040613618,0.03877071,0.037526954,0.037234623,0.037531774,0.037047137,0.03456068,0.030109763,0.025133533,0.021310894,0.01990132,0.021789325,0.027654627,0.036607996,0.045515418,0.049812824,0.04723537,0.039268743,0.030265428,0.023536796,0.019915273,0.018208018,0.017244905,0.016592016,0.016313309,0.016391607,0.016518017,0.01634541,0.015744416,0.014990296,0.01454122,0.014723819,0.015489885,0.016438117,0.01717866,0.01747217,0.017497497,0.017497579,0.017770799,0.018163236,0.01837751,0.017991064,0.017068876,0.015896436,0.014967515,0.01444642,0.014378198,0.014529453,0.014746607,0.014785257,0.014652643,0.014420162,0.014420371,0.014857004,0.015831886,0.01708171,0.018234037,0.018912872,0.019703148,0.023439826,0.03540593,0.059879154,0.093813576,0.12535454,0.14121391,0.14137603,0.14469033,0.17976886,0.26242748,0.3819332,0.50538635,0.5998996,0.6510386,0.6660753,0.6622856,0.6540461,0.64551824,0.6310454,0.59901285,0.541009,0.45762312,0.3609204,0.26601753,0.1848861,0.122409545,0.08148314,0.06562808,0.07831863,0.11628308,0.16728584,0.21386762,0.24383803,0.25478137,0.2531595,0.24665399,0.24041706,0.23544936,0.23113705,0.22773106,0.22681291,0.22898693,0.23039003,0.22466439,0.20776026,0.18280233,0.1574937,0.138965,0.1287383,0.123678,0.11906145,0.11237106,0.10366839,0.09435299,0.08499184,0.07522852,0.06443929,0.053160917,0.042610142,0.034238618,0.028468205,0.025033027,0.023092141,0.021928964,0.020979797,0.019958451,0.018911326,0.018088328,0.017748093,0.01869934,0.022933694,0.03390171,0.05262215,0.074901305,0.09084529,0.09259117,0.079816855,0.060459208,0.043373447,0.03275224,0.02754932,0.024861738,0.022958092,0.021368839,0.020313242,0.019745471,0.019576864,0.020093895,0.024724538,0.042211562,0.084831774,0.15599264,0.2384047,0.29607525,0.29865074,0.2452782,0.16715066,0.10503777,0.08553616,0.10903355,0.15407048,0.18830039,0.18855502,0.15321466,0.102081664,0.05906195,0.03843949,0.042522788,0.06534136,0.095557146,0.117126204,0.117960036,0.09725735,0.067278504,0.04332124,0.03499547,0.041702807,0.05573975,0.066310875,0.06623209,0.055177733,0.039541367,0.026386028,0.019066377,0.016562166,0.016576545,0.017896714,0.021465616,0.030502742,0.05044492,0.08525175,0.13215277,0.17818151,0.20592086,0.20427783,0.1760449,0.13497879,0.095921844,0.06726826,0.049678,0.039878692,0.03423382,0.030609949,0.028177982,0.026674757,0.02571398,0.024850646,0.02380793,0.022732593,0.021881605,0.021378547,0.021042721,0.020626144,0.02001348,0.019336656,0.018778235,0.018495409,0.018486915,0.018826982,0.019427447,0.020137096,0.020425515,0.019928738,0.018530374,0.016803319,0.015474841,0.017233016,0.029180082,0.066304296,0.14430286,0.26809865,0.41852582,0.5610886,0.6642037,0.72061163,0.7454946,0.76229054,0.78578717,0.8155485,0.84150094,0.85011053,0.8357868,0.8018251,0.7613818,0.7271366,0.7074411,0.702486,0.7074477,0.71415406,0.71283954,0.69237757,0.6407833,0.55096495,0.42908326,0.30160758,0.20764641,0.18285878,0.23728175,0.34828177,0.46728483,0.5475982,0.570162,0.55056167,0.5187536,0.48843274,0.451924,0.3973311,0.33528784,0.29608366,0.3077339,0.3713791,0.4614834,0.54455113,0.5983078,0.61677533,0.6019895,0.5558129,0.47933543,0.37903607,0.27097365,0.17858134,0.1254685,0.12786448,0.18394749,0.26889583,0.33990455,0.36474952,0.34601057,0.32182238,0.33138147,0.3818086,0.44642177,0.49116525,0.50124425,0.48140457,0.44255117,0.3895842,0.32404575,0.25018743,0.17748646,0.11611428,0.07231868,0.046870682,0.037732814,0.044483542,0.071850695,0.12737465,0.21178205,0.31004918,0.39326587,0.4357437,0.43183005,0.40147877,0.37554812,0.3778498,0.4105685,0.4583414,0.49826884,0.5157649,0.5080753,0.48380104,0.4534037,0.42498687,0.4002956,0.37730718,0.3521757,0.32303828,0.29040745,0.25679594,0.22444971,0.19475771,0.1677823,0.14278647,0.118462004,0.09420445,0.07098392,0.0511836,0.036897935,0.028455123,0.02440516,0.022633152,0.021578057,0.020487038,0.019328957,0.018314477,0.017721042,0.01757214,0.017619891,0.017501665,0.017022178,0.016384685,0.015926605,0.015892237,0.016209712,0.016721936,0.017384985,0.018207947,0.019114785,0.019798828,0.02003383,0.019809352,0.019366154,0.018926138,0.018562278,0.018210001,0.01781489,0.017370917,0.016996795,0.016777335,0.016789174,0.016984023,0.017348157,0.01787337,0.018530682,0.019148292,0.019463025,0.019293694,0.018694477,0.017868474,0.017069116,0.01645457,0.016206622,0.016403805,0.01707489,0.017961102,0.01873254,0.018987857,0.018648876,0.017913587,0.017249966,0.017056646,0.017472604,0.018369803,0.019414995,0.02026115,0.020609202,0.020347156,0.019657105,0.0189017,0.018464636,0.018393671,0.018487087,0.018431084,0.018081976,0.017487384,0.016815236,0.016271027,0.016029136,0.016207198,0.0169768,0.018644793,0.021786958,0.026915705,0.034245912,0.043205377,0.05391602,0.07066664,0.10567459,0.17559282,0.28782997,0.42796406,0.5611711,0.65403014,0.6927791,0.6883181,0.66130304,0.63084745,0.6079907,0.59769434,0.6010581,0.61737037,0.64540964,0.6805057,0.7138486,0.7345031,0.7362272,0.72151977,0.698653,0.675894,0.6560702,0.6382782,0.62037015,0.6007333,0.5761122,0.5405269,0.48933008,0.4244584,0.35674867,0.2990844,0.25951752,0.23750322,0.22831321,0.22663088,0.2280436,0.22796531,0.22371022,0.21955109,0.2286997,0.2656031,0.33320197,0.41530165,0.48714733,0.53015065,0.5436024,0.53724194,0.5232234,0.5082027,0.49480113,0.48111174,0.4599981,0.42191955,0.3612324,0.28627968,0.21819957,0.18458873,0.20168102,0.26612535,0.35165295,0.42604122,0.4655949,0.4680306,0.44480243,0.4122906,0.38094226,0.35558856,0.3357464,0.31924614,0.30305743,0.28503895,0.2635537,0.23779406,0.20780034,0.17494924,0.14116484,0.10850368,0.078823194,0.0543825,0.03697404,0.02696096,0.022580044,0.021104341,0.02040349,0.019642817,0.018974004,0.01858375,0.018561505,0.018891841,0.019955972,0.022253089,0.026287252,0.03196737,0.038623545,0.04470719,0.048514385,0.04872193,0.0455232,0.040214762,0.03477009,0.030922713,0.030478217,0.03520539,0.045776844,0.06041896,0.07508692,0.08631673,0.09375352,0.099338084,0.10466183,0.10858998,0.10985363,0.10837398,0.10664385,0.10624686,0.10760266,0.10896826,0.10879009,0.10526476,0.09789416,0.08712548,0.075300425,0.064983495,0.057948764,0.054061115,0.051788207,0.04944821,0.04611081,0.04235926,0.039334703,0.03794888,0.037694026,0.03728429,0.035575792,0.03259728,0.029251924,0.026472116,0.024546755,0.023195237,0.022108048,0.021246457,0.020831592,0.022599628,0.032011766,0.060852956,0.122371696,0.22270931,0.35010123,0.4782569,0.57616574,0.6229879,0.6112223,0.54697746,0.4464654,0.3373283,0.25407556,0.22848706,0.2709576,0.36204132,0.46010867,0.5293353,0.55974555,0.5665068,0.5689096,0.5750518,0.5829095,0.59051436,0.60076493,0.6174774,0.64084107,0.6671398,0.69256467,0.71506566,0.73365813,0.7461014,0.74869245,0.7387689,0.71615815,0.68241954,0.6359672,0.5702706,0.47931668,0.3670641,0.25373033,0.1668024,0.12913935,0.14589037,0.20534007,0.28231716,0.3499217,0.38874853,0.39377317,0.37178662,0.33338058,0.2869169,0.23651975,0.18514556,0.1359847,0.093295805,0.06050712,0.038871735,0.026917176,0.022038737,0.023303762,0.033592016,0.058466583,0.1028162,0.16669548,0.24630457,0.3350825,0.42640257,0.5108831,0.578918,0.6227736,0.64246535,0.6434876,0.63378835,0.618241,0.5994325,0.5782191,0.55616236,0.5332291,0.5071515,0.47236156,0.42528138,0.36950108,0.31851712,0.2886025,0.28638133,0.30169633,0.31348014,0.3068007,0.28350413,0.25902513,0.24716824,0.25018826,0.26094553,0.2716385,0.28046775,0.28988954,0.30451974,0.32643172,0.35377467,0.3778793,0.38664448,0.37113497,0.3336309,0.28978732,0.26096594,0.262771,0.29508692,0.3445363,0.39299834,0.4290123,0.44996986,0.45988664,0.46359983,0.46440306,0.46325743,0.4592843,0.45136568,0.43910372,0.4240799,0.4084746,0.393644,0.3789487,0.36235622,0.34251723,0.31955227,0.29553267,0.27263984,0.25278804,0.23593873,0.22076166,0.20431632,0.18422675,0.15915649,0.13005339,0.09948671,0.07123395,0.048680242,0.033494763,0.02501976,0.021155812,0.019671993,0.01921005,0.019103503,0.019156247,0.019180775,0.019187761,0.01924549,0.019441256,0.019687122,0.020034531,0.021041064,0.023728525,0.028349558,0.033620004,0.036835346,0.03627743,0.03231175,0.027450219,0.023858301,0.022248782,0.021793544,0.021489004,0.020953117,0.0201916,0.019320978,0.018212283,0.016975982,0.015842626,0.01515668,0.015025123,0.015388836,0.01613575,0.017107658,0.018134864,0.018943207,0.019343697,0.019227395,0.01868484,0.017920643,0.017203579,0.016817242,0.016946344,0.017666744,0.018726798,0.019724483,0.020229721,0.020215586,0.019915484,0.019630147,0.019395811,0.01909346,0.018700734,0.018391501,0.018456625,0.018990355,0.019827811,0.02059307,0.02095511,0.02080804,0.020229327,0.019423986,0.018536294,0.01775969,0.017253974,0.01717309,0.017462445,0.01791413,0.01831538,0.018618472,0.018914513,0.01914163,0.01907628,0.018477172,0.017554676,0.016808795,0.01673951,0.017265541,0.017993167,0.018448994,0.018546201,0.0183319,0.018009625,0.017714126,0.0176438,0.017821698,0.018130066,0.018257175,0.018006563,0.017428517,0.016859936,0.016584774,0.016546888,0.016388325,0.01581957,0.014959283,0.014243505,0.014343134,0.015901139,0.019416919,0.024389943,0.029981768,0.037735168,0.05562076,0.09773538,0.17505789,0.28513777,0.40783334,0.51717716,0.5927035,0.6259599,0.6142722,0.5587268,0.46780744,0.36099425,0.26626074,0.20617533,0.19218738,0.21641429,0.2591581,0.29331186,0.30703273,0.3108516,0.33337536,0.3922619,0.47807753,0.5596572,0.6074154,0.6095633,0.57192916,0.5093124,0.4382801,0.3751066,0.33590648,0.33490288,0.37855497,0.4592478,0.5545028,0.63738275,0.6891238,0.7068875,0.69921947,0.67917484,0.6567257,0.63731,0.61971235,0.598895,0.56804603,0.5246782,0.47347966,0.42786404,0.40364203,0.41084662,0.44531932,0.49136218,0.5290473,0.5470393,0.54577243,0.53686523,0.53278774,0.54064107,0.5581632,0.578125,0.5930802,0.5985943,0.59328437,0.57790107,0.55488056,0.52735233,0.4975749,0.4660196,0.43064633,0.3878866,0.33395562,0.2686436,0.19746508,0.13085495,0.07868084,0.045303922,0.028293932,0.021649456,0.019685159,0.019105263,0.018822454,0.018844416,0.019481743,0.020920573,0.023208087,0.026055494,0.028902216,0.031045446,0.032144558,0.032257915,0.031811588,0.031084402,0.030258313,0.029249469,0.02809679,0.026867287,0.026225636,0.027236678,0.031283718,0.038077336,0.04530414,0.04890163,0.046802565,0.03996804,0.03210999,0.02612894,0.022959096,0.02175819,0.021433765,0.021311408,0.020979777,0.020365607,0.019558826,0.01892745,0.018698787,0.018969893,0.019662939,0.02063037,0.021590322,0.022155778,0.02212578,0.02160676,0.020932788,0.020305997,0.01972528,0.019165097,0.018738506,0.018672757,0.018980496,0.019443989,0.019693399,0.019656336,0.019480266,0.019415604,0.019415408,0.01932063,0.019050004,0.018781038,0.018730074,0.01891016,0.019164653,0.019318538,0.01938499,0.01943527,0.019565,0.019706555,0.019758211,0.01991901,0.023733094,0.04080545,0.08771828,0.17673011,0.3045612,0.44460535,0.56269264,0.6334391,0.6534633,0.6318663,0.580134,0.50543624,0.41731295,0.33390674,0.2813449,0.27882192,0.32203925,0.37813023,0.40752897,0.39490947,0.36487746,0.360249,0.40477225,0.4815477,0.5487247,0.5715931,0.5448112,0.48971555,0.43856034,0.41906282,0.44421378,0.5079706,0.5877661,0.6563356,0.69608194,0.7054109,0.6932461,0.6681823,0.63158613,0.57965773,0.508293,0.4203817,0.32627937,0.24317747,0.18649907,0.16364582,0.16844682,0.18669473,0.20580225,0.22609931,0.25820073,0.31304368,0.38714728,0.46421394,0.521857,0.54419357,0.52416945,0.47012404,0.40634656,0.36890236,0.38278687,0.44586852,0.5277137,0.59497094,0.63043743,0.6384224,0.6289683,0.6060832,0.56622326,0.50881875,0.44506264,0.3956673,0.37853608,0.39625415,0.43437028,0.47167423,0.49209663,0.49091277,0.47099283,0.43765855,0.3940327,0.34180972,0.2825376,0.22048843,0.16209869,0.11426667,0.08033775,0.05913716,0.046186555,0.03732159,0.030361699,0.025013283,0.021410925,0.01942129,0.018721925,0.018907873,0.019608697,0.020263983,0.02055958,0.020393588,0.020075418,0.01987006,0.01986626,0.019871378,0.01956445,0.018944195,0.018254722,0.018065715,0.018469052,0.019206837,0.019493913,0.018985912,0.017784355,0.016591633,0.015896304,0.015832558,0.016092373,0.016340936,0.0163453,0.016072584,0.0156077305,0.0151412785,0.014802034,0.014699197,0.014779576,0.015020656,0.015289154,0.015591663,0.015899336,0.016281135,0.016683362,0.017040735,0.017235598,0.017225305,0.017060677,0.016868846,0.016717002,0.016549015,0.016243283,0.015852153,0.015563195,0.015580128,0.015876902,0.016266465,0.01658488,0.016777826,0.016928203,0.017021349,0.017035097,0.01689727,0.016711272,0.016608732,0.016686635,0.01694391,0.01735878,0.018027648,0.018937664,0.019936385,0.020594014,0.020613963,0.019978596,0.019068895,0.018314794,0.01792965,0.017829182,0.017816057,0.017794663,0.017786993,0.017865,0.018051187,0.018279202,0.018453555,0.018474352,0.018439263,0.01865697,0.020304346,0.027350022,0.049805213,0.10447004,0.2073787,0.359363,0.5357181,0.69443744,0.7993447,0.8410136,0.83622956,0.81159776,0.78535825,0.7632844,0.7424969,0.7174575,0.6816001,0.6301941,0.5651047,0.49682236,0.43912193,0.3980676,0.36787093,0.33623683,0.29664198,0.25373092,0.22202659,0.21826167,0.25367606,0.32718405,0.42262855,0.51693463,0.5910592,0.6385322,0.6599656,0.65708166,0.63100487,0.5883243,0.5431084,0.5119284,0.50575286,0.52573276,0.5642222,0.60830563,0.64444447,0.66285604,0.6610468,0.6421742,0.6116724,0.5727344,0.52622813,0.47137713,0.4075693,0.33568358,0.25919503,0.18498237,0.12116188,0.07418442,0.04538271,0.031285092,0.025908565,0.024344573,0.023812244,0.023325741,0.02241607,0.021067781,0.019962033,0.02047365,0.024102515,0.0310134,0.039860584,0.04792881,0.053419948,0.055873405,0.056239188,0.054924283,0.051728994,0.04633507,0.039550714,0.032981854,0.02809775,0.025220953,0.023789508,0.022956505,0.022390269,0.0220424,0.021894256,0.021598434,0.020894088,0.0199613,0.019387355,0.019662894,0.020699987,0.022030301,0.023182854,0.024072863,0.02483205,0.02564392,0.02650663,0.027284691,0.027787754,0.027905742,0.027720788,0.027374739,0.027119434,0.02712216,0.027632466,0.028605826,0.029793786,0.030667631,0.031052554,0.031187594,0.031566482,0.03258362,0.03528629,0.0424577,0.061507177,0.10420636,0.18629594,0.31453785,0.4787673,0.6448744,0.7752218,0.84623814,0.8635214,0.8486534,0.8246898,0.8020695,0.7797807,0.74857825,0.7013774,0.6385327,0.5714464,0.5119311,0.4628341,0.41439664,0.35597983,0.28999296,0.23552018,0.21959007,0.25982782,0.35402998,0.47680697,0.59255266,0.67011195,0.69812554,0.68361354,0.64469856,0.59598094,0.5426628,0.48071924,0.4077703,0.33378926,0.28342244,0.28471598,0.3489604,0.46089458,0.58338004,0.68053573,0.73326683,0.7459883,0.73351747,0.71117765,0.6857009,0.6585708,0.6284837,0.5968571,0.56690556,0.54343325,0.5289746,0.52458495,0.5285623,0.53799325,0.54789925,0.5536441,0.5511327,0.53640276,0.50405735,0.45196936,0.38722077,0.32693526,0.28642678,0.26746467,0.25785944,0.24556197,0.2322951,0.23386681,0.2656442,0.3273991,0.39981806,0.45775595,0.4852037,0.4820777,0.4586468,0.42670998,0.3955063,0.36874488,0.34675536,0.32577467,0.30220163,0.27297556,0.23680042,0.19456643,0.14886121,0.105695955,0.07020358,0.0462998,0.0327732,0.026818467,0.024578689,0.024100954,0.024184726,0.024465494,0.02453803,0.024349922,0.023973182,0.023747465,0.024247386,0.026272498,0.030644571,0.036660124,0.04225911,0.044141527,0.04129902,0.034912817,0.028444685,0.023985624,0.022056231,0.021499708,0.021311805,0.021097714,0.02105467,0.021620348,0.022924734,0.02471037,0.026335945,0.027277166,0.02741959,0.027064987,0.026661098,0.026499843,0.026686989,0.027010156,0.027124451,0.026608227,0.025498455,0.024183085,0.023328887,0.023202397,0.023656404,0.024127131,0.024115488,0.023388574,0.022156077,0.020898065,0.020128822,0.020078039,0.020685958,0.021634573,0.022601068,0.02322361,0.023243828,0.022467837,0.021041408,0.019305207,0.017812267,0.01682794,0.016535437,0.016780226,0.017496968,0.018314121,0.01896323,0.019109996,0.018883312,0.018627679,0.018936336,0.020062005,0.021729155,0.023104766,0.02332176,0.022128006,0.019948473,0.017699493,0.016060052,0.015395251,0.015577127,0.016315073,0.017101655,0.017504662,0.017271962,0.016629959,0.016044267,0.01639899,0.018923044,0.02532541,0.039000347,0.06712558,0.124029405,0.22367956,0.3692439,0.5393295,0.69899374,0.8158893,0.88113433,0.9042222,0.9038231,0.89231443,0.8741629,0.8446665,0.79863906,0.7349741,0.66161555,0.58686346,0.5124927,0.43224934,0.34300283,0.25324038,0.179873,0.13886766,0.13926423,0.18385427,0.2667725,0.3691372,0.4622968,0.52214974,0.5430493,0.53780884,0.5245971,0.5149707,0.5100724,0.5062229,0.5001439,0.4921881,0.48539805,0.48482752,0.49679884,0.5264885,0.5733669,0.6274381,0.6734789,0.6995616,0.7042343,0.69428843,0.6781834,0.6608469,0.6415699,0.6155172,0.5765851,0.5247229,0.46973595,0.42821977,0.412776,0.4233627,0.44801918,0.47119844,0.4821392,0.47703514,0.4562519,0.42181757,0.37637746,0.3230331,0.26474312,0.20541805,0.15257072,0.11593533,0.102867305,0.110624336,0.12703152,0.13559951,0.1266329,0.10216298,0.07469862,0.058162052,0.058680188,0.07328937,0.09565971,0.12635893,0.17094566,0.23222907,0.29811606,0.3474284,0.3607922,0.334159,0.2767682,0.20570397,0.13738711,0.083840184,0.049526658,0.03235346,0.027157022,0.030322855,0.040781155,0.0595935,0.090255,0.14144665,0.22274035,0.33549032,0.46261516,0.5762374,0.65281624,0.68782634,0.69198984,0.6803494,0.6630564,0.64373034,0.6227127,0.5983828,0.5699044,0.53799826,0.5058256,0.47713163,0.45358714,0.43436757,0.41553307,0.39155212,0.35522905,0.3022567,0.23491286,0.16489634,0.10943085,0.08510736,0.101813674,0.15817218,0.241338,0.3298267,0.4040904,0.45314333,0.478187,0.48563647,0.48263678,0.47265896,0.45718086,0.43570793,0.40780163,0.37336934,0.3349363,0.297173,0.2656807,0.24263686,0.2256382,0.20887204,0.18846045,0.16433178,0.14088818,0.12266022,0.112242825,0.10730785,0.10365102,0.09876898,0.094881855,0.096045904,0.10303005,0.11261185,0.12053659,0.12581575,0.12902446,0.1295921,0.123897724,0.10898241,0.085909,0.060701374,0.04006302,0.027700303,0.02290175,0.022863477,0.024673572,0.026490675,0.027344244,0.027007671,0.027976766,0.037653636,0.06857104,0.12694182,0.20077877,0.257335,0.26581934,0.22100179,0.14944848,0.089253865,0.0670867,0.08830583,0.13680251,0.18397693,0.20046471,0.17655355,0.12544028,0.074170284,0.04221416,0.03724757,0.057588756,0.097387016,0.14229167,0.17189993,0.16985776,0.13755804,0.092221946,0.05528913,0.03833729,0.041365147,0.05525954,0.068413146,0.07106736,0.061313976,0.04445812,0.028939335,0.019241175,0.015208195,0.014129466,0.014131993,0.014445797,0.014834128,0.015118008,0.015214529,0.015284986,0.016052814,0.018756839,0.025187835,0.035419583,0.04785882,0.05838773,0.06447759,0.06454717,0.05996714,0.05182266,0.042514894,0.03367996,0.02705138,0.022768656,0.020417957,0.019172965,0.018591681,0.018362815,0.018267935,0.018090598,0.017719494,0.017183116,0.016603762,0.01611714,0.015800305,0.01572358,0.015892839,0.016247867,0.016554957,0.016627194,0.016374461,0.01592002,0.015390579,0.014920424,0.014586911,0.014440785,0.014460508,0.014586362,0.0148285525,0.015174355,0.015607543,0.016007928,0.016444271,0.016969614,0.017602557,0.018025331,0.017989546,0.017504558,0.016952753,0.016700042,0.016769947,0.017117316,0.02043496,0.035674553,0.08059973,0.17216687,0.31425598,0.48514572,0.649347,0.7736296,0.84607595,0.87146646,0.86279875,0.8285064,0.7704753,0.68668985,0.5783442,0.45650497,0.34285578,0.26357388,0.23812293,0.268477,0.33679998,0.41273484,0.47024742,0.49953255,0.5082176,0.5100753,0.51370794,0.5195479,0.5244642,0.5282598,0.5346334,0.54885966,0.5740948,0.6099012,0.6525274,0.6952293,0.7304206,0.751118,0.75485754,0.7436321,0.72419333,0.7031079,0.6852405,0.67147654,0.6612938,0.6527061,0.64261323,0.6257657,0.5970407,0.55415034,0.49995396,0.44016865,0.38074568,0.3250461,0.27533925,0.2336363,0.20230903,0.18232484,0.17238045,0.16918772,0.1685285,0.16596429,0.15752567,0.1406587,0.116090305,0.08776332,0.061562315,0.04180613,0.029800354,0.023776049,0.021204242,0.020737993,0.023538677,0.0332228,0.05631313,0.10165679,0.17788108,0.28088477,0.3853012,0.44816694,0.43960342,0.36670193,0.2726252,0.20458244,0.18907033,0.23015775,0.31897852,0.43747222,0.55621165,0.6438606,0.6795554,0.6590807,0.5879616,0.4775056,0.34605312,0.2195376,0.122151606,0.06769023,0.059149135,0.09875236,0.18738872,0.31764114,0.4629147,0.5889459,0.670088,0.7043753,0.7054928,0.6908502,0.6705088,0.648379,0.62438244,0.5984104,0.5708683,0.5442521,0.5215495,0.5046546,0.49283266,0.48318863,0.47360507,0.46272254,0.45079067,0.43663406,0.4204559,0.4031477,0.38824472,0.37735865,0.368973,0.35730854,0.33590007,0.3025144,0.26195982,0.22517072,0.2005577,0.18772344,0.17655392,0.15662587,0.12528665,0.08929682,0.058061104,0.03710675,0.025970826,0.021198398,0.019394862,0.018820748,0.01866361,0.018591756,0.018311908,0.01790882,0.017542996,0.017412161,0.017366998,0.017258445,0.017011983,0.0168424,0.016916199,0.017194614,0.017458776,0.017568564,0.01764807,0.017873786,0.01823976,0.018460996,0.018277144,0.017681772,0.016959293,0.016354956,0.016000785,0.01586538,0.01607912,0.017583957,0.024805635,0.047944058,0.10085679,0.18860228,0.29562226,0.38617218,0.42787418,0.41465542,0.37316012,0.3410746,0.34359434,0.38132334,0.4389499,0.50017565,0.55852014,0.61584073,0.673333,0.7254498,0.7632945,0.7820584,0.78370667,0.77172804,0.7456848,0.70211864,0.64135915,0.57324547,0.51393324,0.4768275,0.4641638,0.46794605,0.4771129,0.48443124,0.48830763,0.4906843,0.4956027,0.50759906,0.5294637,0.55831176,0.5838239,0.5919283,0.57277584,0.5296292,0.4785899,0.44044778,0.42545822,0.42892182,0.4355563,0.4333274,0.4180602,0.39176127,0.35590813,0.3104712,0.25661597,0.19895482,0.14598885,0.107720084,0.09481999,0.112474106,0.15707178,0.21247081,0.26025057,0.28706312,0.29327425,0.28603128,0.27482608,0.2638906,0.25389487,0.24270332,0.22927125,0.21438302,0.20039643,0.18892883,0.17903735,0.16770935,0.15184343,0.13120498,0.10889805,0.090659656,0.08141294,0.08252928,0.09048104,0.099628754,0.10590496,0.10841786,0.10747653,0.10323163,0.09631998,0.08969427,0.08728042,0.09116908,0.09948173,0.10752598,0.11083258,0.10762099,0.100027,0.09256005,0.089888476,0.093690276,0.102087915,0.110405564,0.11389938,0.10938662,0.09660155,0.078037746,0.05828905,0.041864786,0.03127066,0.026053557,0.024051383,0.023033947,0.021977646,0.020720014,0.019571451,0.018672904,0.018228339,0.01822213,0.018642368,0.019205831,0.01976206,0.020120526,0.020294217,0.020218527,0.019965997,0.01960843,0.019323466,0.019242436,0.019417552,0.019833466,0.020394191,0.02098117,0.021378981,0.021429986,0.021124547,0.020675885,0.020310774,0.020174645,0.020284433,0.02060728,0.02094953,0.020975174,0.020467242,0.019498093,0.018488916,0.017716778,0.017343694,0.017277658,0.017532028,0.018003682,0.018540764,0.018864034,0.018822772,0.018500961,0.018151762,0.017983578,0.017975492,0.017957624,0.017823232,0.01767078,0.017722188,0.018093169,0.0187153,0.019388294,0.019929362,0.02018381,0.020101646,0.019710185,0.019174695,0.018644467,0.018292682,0.018252006,0.01861533,0.019287737,0.019966697,0.020321688,0.020178694,0.01960134,0.018811991,0.018080903,0.017694844,0.01775447,0.018192397,0.018762926,0.019377256,0.020069553,0.020862192,0.021590097,0.022119725,0.022754712,0.024019955,0.026135182,0.028409868,0.02981233,0.02968072,0.028318284,0.026414588,0.024590453,0.023036798,0.021899538,0.021226333,0.021072092,0.021202644,0.021392884,0.021441216,0.021418875,0.021415217,0.021514937,0.0216775,0.021981725,0.022497201,0.023326233,0.024270168,0.025127672,0.025532633,0.02532388,0.024376087,0.02297198,0.02149267,0.020364797,0.019693349,0.019528763,0.019830743,0.020569144,0.02143704,0.022103809,0.022309521,0.022130407,0.021936677,0.022935795,0.027733028,0.039903793,0.061191548,0.08938893,0.120345615,0.15561263,0.2050908,0.27945244,0.37467292,0.46823683,0.53240687,0.5546755,0.5448882,0.5251724,0.515054,0.5240641,0.5522364,0.59264874,0.63357997,0.66289634,0.67330384,0.6653618,0.6457007,0.62244654,0.6008277,0.5803599,0.5558987,0.5222255,0.47997224,0.4366376,0.40083298,0.37508443,0.35564542,0.34069073,0.3387921,0.3633552,0.41992548,0.49382463,0.5606796,0.60062486,0.6120054,0.60348135,0.58572507,0.56378955,0.5401068,0.5162075,0.4938343,0.47309282,0.4526488,0.43033096,0.40553018,0.37846816,0.34920385,0.31586507,0.27712432,0.23442467,0.19233143,0.15518695,0.12465719,0.100045204,0.08020299,0.06461535,0.053148016,0.045388896,0.040441196,0.037072036,0.034551993,0.032782167,0.032009702,0.031722393,0.030980922,0.028947162,0.025935994,0.022763783,0.020372823,0.019250475,0.019868284,0.022686364,0.027443862,0.03280535,0.036447972,0.03709157,0.034962554,0.031824615,0.02899944,0.027069598,0.025807982,0.02506839,0.024688682,0.024488302,0.024073802,0.02323824,0.022059157,0.020999193,0.020418847,0.020406991,0.020704547,0.020995043,0.021059783,0.020812256,0.02031835,0.019734323,0.019243857,0.018911144,0.01870282,0.018585274,0.018624937,0.01885467,0.019181058,0.019344963,0.019193843,0.01878748,0.018356688,0.0180746,0.01792298,0.017889587,0.01803002,0.018579885,0.019586662,0.020884985,0.022043131,0.022797517,0.023143455,0.023299413,0.023399355,0.023608262,0.024628654,0.027984018,0.035652157,0.049669046,0.07321813,0.11226945,0.17360885,0.25839433,0.356114,0.44830048,0.51982033,0.56768614,0.59822303,0.61753106,0.6266795,0.6246961,0.61359024,0.5987878,0.5853602,0.57591605,0.5705616,0.5687583,0.56801265,0.56121355,0.5367689,0.48466572,0.40765822,0.32584953,0.2714018,0.2713385,0.3319388,0.4333024,0.54034966,0.62205744,0.6647516,0.67180467,0.6527563,0.61414784,0.5568133,0.48079845,0.39094678,0.30213743,0.23640192,0.21664073,0.25344953,0.33918414,0.44732985,0.5466916,0.61418563,0.6450711,0.647286,0.6342778,0.61547476,0.5961222,0.5770374,0.5581053,0.5390036,0.51991916,0.50072056,0.48055962,0.4591147,0.43723628,0.4167342,0.39869437,0.38304856,0.36916724,0.35697392,0.34645748,0.3374026,0.32852617,0.31876543,0.3072391,0.29427898,0.28041294,0.2666072,0.25343117,0.24152775,0.23105173,0.22187217,0.21315742,0.20424385,0.19482346,0.1852764,0.17557067,0.16504674,0.15228201,0.13613501,0.11622986,0.09368653,0.07100438,0.051374927,0.037070498,0.028408514,0.024043508,0.022269264,0.022052148,0.02306187,0.025400558,0.029270196,0.034873754,0.0419253,0.04932582,0.055270087,0.057993185,0.056787625,0.05219126,0.045767132,0.038968194,0.032857504,0.02771557,0.023671836,0.020706968,0.018915258,0.01820635,0.018323213,0.018915845,0.019688018,0.020508997,0.021330142,0.022195632,0.024063671,0.029573848,0.043803606,0.070582,0.109291814,0.15120827,0.18493932,0.20086652,0.19770111,0.17935313,0.15356128,0.1261964,0.10178388,0.08155259,0.06607126,0.05487175,0.047952946,0.04457198,0.0434024,0.042565435,0.040815253,0.03814837,0.035515327,0.033852134,0.033315927,0.033297036,0.032894127,0.031575207,0.029361768,0.026791565,0.02449528,0.023051426,0.022672737,0.023224993,0.024038032,0.024487108,0.02413364,0.023903266,0.027552051,0.044754494,0.090805955,0.1799614,0.31265077,0.46732414,0.60663456,0.69645256,0.7237211,0.7001867,0.65144354,0.6020353,0.5655946,0.54401374,0.5313683,0.52024764,0.50581247,0.48776087,0.4683448,0.44997612,0.43292484,0.4162414,0.3987403,0.38010764,0.35963023,0.33687568,0.3135145,0.29671946,0.29596516,0.3163438,0.3511951,0.38559818,0.40459538,0.40173694,0.3795533,0.34741068,0.317006,0.29720783,0.2870904,0.27541542,0.2480098,0.20043512,0.1417479,0.08813093,0.0508609,0.03149939,0.02457803,0.023704402,0.025284797,0.03130201,0.051499695,0.10206037,0.19545774,0.32800448,0.47492662,0.6029713,0.6879596,0.7261347,0.7289636,0.713007,0.6908865,0.6696343,0.6511902,0.6351309,0.6197957,0.6037834,0.58513266,0.5626183,0.5354928,0.5046502,0.47038373,0.43232504,0.3884909,0.33849594,0.28416237,0.23198622,0.18923198,0.16235358,0.15062502,0.1474459,0.14156242,0.12544638,0.098754264,0.06877079,0.044040006,0.029054845,0.022602655,0.020743884,0.02010152,0.019382095,0.01873335,0.018809423,0.019980574,0.021948015,0.023890898,0.0249029,0.024729913,0.023746552,0.022675164,0.02198826,0.021896554,0.022841895,0.025717268,0.031779516,0.040389065,0.04885533,0.0525431,0.049625117,0.041413996,0.032430228,0.025604645,0.021988025,0.020476853,0.020046502,0.019841252,0.0195575,0.019248908,0.019262707,0.019853823,0.020856125,0.021801999,0.022816872,0.02663148,0.040941194,0.07723609,0.143265,0.231782,0.31784162,0.3721563,0.3817117,0.35842776,0.32556045,0.29878357,0.2776204,0.2546818,0.22489958,0.19002257,0.15565811,0.13157122,0.13096839,0.1686765,0.25047162,0.36546555,0.48480216,0.5785482,0.6320445,0.6535587,0.66188055,0.67046255,0.68006986,0.68265325,0.66963214,0.6337323,0.56993055,0.47717366,0.36416638,0.24989097,0.15537582,0.092507124,0.059019443,0.044364844,0.037966214,0.034166846,0.031089222,0.028411381,0.025905294,0.02359012,0.021703288,0.020593183,0.020282516,0.021185474,0.02499371,0.037629236,0.06850646,0.12884082,0.219074,0.32323065,0.40662467,0.4386145,0.4098934,0.34303394,0.27261433,0.22402231,0.2003281,0.19014257,0.18144651,0.16929114,0.1551163,0.14288257,0.13955057,0.15653269,0.20562352,0.2895284,0.39448118,0.49608937,0.57157344,0.61135906,0.61793214,0.60104775,0.5697846,0.5311025,0.4876295,0.43948486,0.38445282,0.32133743,0.25198734,0.18270911,0.12193242,0.07616304,0.047046077,0.031499382,0.024486586,0.021573907,0.020183356,0.019358078,0.019019267,0.019330425,0.020166574,0.021179797,0.021844009,0.021954186,0.021582166,0.021116236,0.020927629,0.022268971,0.027225876,0.03848185,0.05466181,0.070216276,0.07620651,0.06962215,0.053756416,0.03747465,0.026051855,0.020784773,0.019250518,0.019652413,0.02082896,0.022183852,0.022996306,0.022851408,0.021890836,0.020757115,0.020014046,0.019786164,0.019826977,0.020030687,0.020618113,0.021818122,0.023352465,0.024519304,0.02465113,0.023689484,0.022047946,0.020377977,0.019120721,0.018464118,0.018306212,0.018430183,0.018700711,0.01911421,0.019785792,0.020775437,0.022003582,0.023278413,0.02433855,0.02518852,0.025979115,0.02698649,0.027996892,0.02851499,0.027969303,0.026503539,0.02475948,0.023521615,0.022910768,0.022546941,0.021888254,0.020907635,0.01997518,0.019602938,0.019963123,0.020883761,0.021897517,0.022452565,0.022154706,0.021449404,0.023080043,0.033311553,0.060901552,0.11146176,0.18128198,0.25646424,0.32338622,0.3802882,0.44095644,0.5196013,0.616594,0.71244544,0.7850654,0.82251865,0.83015513,0.8181324,0.79512733,0.76397103,0.7263639,0.68279624,0.63172245,0.56979674,0.494432,0.40925714,0.32306454,0.24897575,0.19973564,0.18856762,0.22482073,0.3077247,0.41973272,0.53043896,0.6119618,0.6515865,0.6560057,0.6406974,0.6212453,0.6057213,0.59676147,0.5927215,0.59046906,0.58518624,0.5727045,0.55164313,0.5250315,0.49769637,0.47279838,0.44995555,0.42585298,0.39704332,0.36100268,0.3177644,0.26918757,0.21925557,0.17313921,0.1348185,0.10561482,0.08282394,0.0638934,0.047606457,0.035784546,0.029754976,0.029892415,0.034788523,0.042673577,0.051577598,0.059797976,0.06615681,0.07004131,0.07141799,0.07129344,0.072722495,0.08040757,0.09692138,0.11945057,0.14031251,0.15425229,0.16285653,0.17328398,0.18989249,0.2092487,0.22281945,0.22622353,0.22847457,0.24847873,0.3018023,0.38369346,0.47035098,0.53362006,0.5605019,0.5568399,0.5386843,0.51854783,0.49753943,0.46758834,0.4211088,0.3633088,0.31314042,0.2928067,0.31038335,0.35390636,0.39855888,0.4231553,0.42020142,0.39646032,0.36444357,0.33512434,0.3147603,0.30682456,0.3130372,0.33283523,0.36159047,0.39184877,0.4159665,0.42986047,0.43362227,0.43073407,0.42504254,0.41896927,0.4124774,0.40360418,0.38981152,0.36958322,0.3437791,0.31486169,0.28564057,0.25773555,0.23186441,0.207581,0.18344422,0.1570916,0.12729602,0.0955956,0.06635242,0.04403992,0.03053344,0.024365492,0.02230263,0.021517685,0.020613918,0.019573903,0.018878488,0.018948281,0.019719439,0.020845175,0.02179453,0.0222342,0.022099776,0.021760555,0.021680435,0.022160456,0.022992367,0.023694225,0.02386775,0.023645366,0.023595968,0.02419003,0.025329374,0.026303759,0.026591197,0.026183145,0.025727535,0.025609799,0.025952576,0.026370963,0.026624257,0.026381997,0.02555512,0.024189593,0.022659129,0.021424593,0.02075374,0.020642119,0.02079655,0.020943163,0.020870754,0.02064065,0.020412216,0.020444343,0.020859266,0.021610176,0.02238129,0.022793712,0.022762539,0.022667,0.02309907,0.024184793,0.025472023,0.026222646,0.026175862,0.025491243,0.024591953,0.023671778,0.022879891,0.02227808,0.021915972,0.021707634,0.021518966,0.021356376,0.021286255,0.021447012,0.02182229,0.022426544,0.0231468,0.023829704,0.02420636,0.024186844,0.02397918,0.02398745,0.024459792,0.025203884,0.025747055,0.025613522,0.024739161,0.023459272,0.022412688,0.022105485,0.022644764,0.023672031,0.024631679,0.025175741,0.02527441,0.025116762,0.024866238,0.02461856,0.025008516,0.02904432,0.044098556,0.08151495,0.14979583,0.24661899,0.35487676,0.4515367,0.51899076,0.55318993,0.55987495,0.5479621,0.52417976,0.49179468,0.4521967,0.40647578,0.35935304,0.3185656,0.29159304,0.27715877,0.26510546,0.2439601,0.21488972,0.19312419,0.19728434,0.23275244,0.28785568,0.34316158,0.3847928,0.4102604,0.42398512,0.43137264,0.43419424,0.43197155,0.42300868,0.40710124,0.38544476,0.36127302,0.33812848,0.31877732,0.3037292,0.2915404,0.2801717,0.26794407,0.25454876,0.24030788,0.2269487,0.21603282,0.20877463,0.20372695,0.19840395,0.19000733,0.17826705,0.16416366,0.14962421,0.1353044,0.12136873,0.106947966,0.091476716,0.07478894,0.058404636,0.044698652,0.035785485,0.03182393,0.031328335,0.032240048,0.033195853,0.0336011,0.033438265,0.0329127,0.032410245,0.032230612,0.03234117,0.032418106,0.03208816,0.031397305,0.030660907,0.030235492,0.030062849,0.029789373,0.029147955,0.02827161,0.027667992,0.027649028,0.028218143,0.029054806,0.03007065,0.03115204,0.032195758,0.032767158,0.03268409,0.031961057,0.030949371,0.029916743,0.02910351,0.028651083,0.028617734,0.02899749,0.029774876,0.030970344,0.032450974,0.033874556,0.0347631,0.03477181,0.03385897,0.032293055,0.030510588,0.028807512,0.027277343,0.025920177,0.024979549,0.024845531,0.02568271,0.027147792,0.028633812,0.029970845,0.031571675,0.034093704,0.037483852,0.041007694,0.043671012,0.045176342,0.045690212,0.045529276,0.044706434,0.04344498,0.042797748,0.044904757,0.052910645,0.06857171,0.090856664,0.11378253,0.13051076,0.13656588,0.13541998,0.13601656,0.14853233,0.17645417,0.21511094,0.2551062,0.28966615,0.3184274,0.34727347,0.3847315,0.43701124,0.50247765,0.56868,0.61677337,0.62948245,0.5988171,0.5268623,0.42535505,0.31232986,0.20857354,0.13014483,0.084810875,0.07141773,0.08368334,0.11174052,0.14449011,0.17320113,0.19572754,0.2177702,0.24643672,0.28364238,0.3210089,0.34638193,0.35081026,0.3355709,0.30797306,0.2761459,0.24349974,0.21003968,0.17500871,0.13955913,0.10664606,0.07943305,0.059715327,0.047304183,0.040720385,0.038101997,0.037862603,0.038829446,0.040037937,0.04087735,0.040985327,0.04069115,0.040489975,0.040973604,0.04191464,0.042688403,0.04257259,0.04166867,0.040546928,0.03956907,0.03847711,0.03685445,0.034986284,0.03361973,0.033407193,0.03400609,0.03454806,0.03405769,0.03243392,0.030179331,0.028242238,0.027114341,0.026841817,0.02705118,0.02741865,0.027856661,0.02851221,0.029684385,0.03137706,0.033157855,0.034334343,0.034728955,0.03498398,0.03610875,0.038494956,0.041833535,0.04568519,0.05040395,0.05664915,0.064787894,0.07415556,0.08343783,0.09056983,0.093175344,0.08942073,0.07971191,0.06701458,0.05522048,0.04702638,0.043021053,0.042624425,0.044726755,0.047999505,0.05101197,0.053050835,0.05574131,0.06287489,0.078917585,0.10423907,0.13394588,0.15930909,0.17666937,0.19135743,0.2181999,0.268172,0.3401419,0.41585183,0.47409686,0.50097585,0.4973303,0.46941733,0.42237303,0.35788175,0.2802514,0.20016553,0.13104773,0.08244656,0.055535093,0.04757042,0.05802338,0.09210527,0.15400966,0.23916574,0.3304323,0.40760422,0.45801505,0.4827678,0.49106476,0.49202862,0.49041578,0.48647475,0.47969326,0.4681048,0.45035866,0.42437664,0.39145216,0.35524035,0.32170495,0.29362717,0.2696294,0.24424334,0.2131601,0.17586553,0.13712825,0.10410211,0.08370129,0.08007502,0.09281427,0.11687378,0.1435384,0.16536598,0.17868654,0.18466835,0.18557274,0.18282008,0.17654842,0.16729057,0.15690766,0.14719027,0.13875651,0.13007338,0.11985531,0.10814548,0.097081125,0.088272095,0.08153438,0.07465947,0.06587166,0.055373162,0.045414906,0.038223792,0.03447559,0.033046726,0.032379676,0.03160027,0.030729791,0.03003634,0.029529875,0.029108083,0.028879454,0.02906618,0.029589796,0.029896282,0.02949409,0.028439216,0.027371759,0.026895046,0.02708727,0.027644714,0.028239185,0.028938541,0.029832078,0.030869827,0.031605948,0.03155061,0.03051707,0.02872718,0.026838927,0.025302889,0.024311803,0.0235143,0.022711525,0.021873442,0.02130299,0.021123298,0.021297986,0.021615453,0.021950923,0.022279693,0.022747204,0.023467368,0.024394937,0.02515181,0.025336653,0.024754085,0.023602718,0.02223794,0.020985303,0.02005832,0.019551512,0.019463155,0.019622609,0.019839754,0.02001548,0.020267993,0.020775488,0.021582572,0.022531891,0.023295507,0.023663918,0.02356414,0.023251062,0.022975696,0.022923576,0.023002647,0.023125986,0.023388594,0.024028843,0.025076339,0.02615427,0.026644975,0.026284343,0.025243377,0.024117952,0.023281261,0.022861505,0.0226518,0.022501796,0.022423461,0.023794537,0.029744685,0.044999808,0.06982807,0.09750203,0.11420242,0.1112977,0.09042797,0.06399759,0.042857617,0.031232765,0.026276728,0.024261817,0.023148058,0.022585988,0.022574076,0.022932628,0.023533598,0.024373533,0.02541761,0.026374146,0.026780458,0.026444687,0.025731703,0.025480552,0.026422866,0.028787224,0.03218037,0.035953958,0.039489347,0.04224831,0.04367904,0.043311965,0.041081782,0.037497953,0.033405866,0.029685726,0.026872262,0.02507285,0.023911431,0.022928415,0.021960573,0.02120815,0.02091802,0.021010635,0.021196103,0.021258721,0.02129711,0.021652346,0.022505865,0.02364373,0.024401424,0.024255753,0.023279555,0.022171048,0.021670425,0.021904394,0.022546373,0.023160143,0.023759024,0.024403563,0.025104998,0.025568306,0.025617622,0.025177913,0.024370512,0.023425037,0.022669055,0.022306507,0.022212846,0.022076758,0.021763911,0.021421807,0.021279572,0.021404222,0.021789575,0.022330442,0.02281396,0.022906082,0.022569528,0.022114947,0.021976965,0.022130301,0.022278009,0.02217816,0.02202055,0.022039793,0.022248125,0.022404721,0.022328721,0.022087162,0.021797098,0.021516645,0.021176973,0.020842016,0.020621138,0.020565873,0.020442685,0.02002562,0.019290565,0.018561898,0.018101737,0.017971873,0.018006116,0.018112756,0.01822073,0.018199632,0.01780518,0.016996497,0.016057504,0.015481024,0.015473083,0.01583948,0.016119258,0.016064875,0.015737154,0.015404768,0.015233688,0.015220328,0.015273045,0.015320192,0.015339281,0.015354347,0.015517861,0.016097,0.0172882,0.01884792,0.020085422,0.020260075,0.019259213,0.017705167,0.016454661,0.015913293,0.015852956,0.015906446,0.015999243,0.016409965,0.017277686,0.018317113,0.018951261,0.018751984,0.017779402,0.016471513,0.015451717,0.015119241,0.0155361695,0.016342027,0.017065784,0.017390532,0.017271973,0.016859263,0.016276965,0.015647886,0.015071977,0.014720689,0.014685635,0.014884591,0.015052508,0.014978625,0.014682324,0.014316026,0.013940866,0.013440952,0.012793075,0.012137092,0.011751263,0.011689673,0.011889879,0.012205458,0.012656846,0.013245035,0.0139441835,0.014638561,0.015236768,0.015658883,0.015808238,0.015640968,0.015202799,0.014664657,0.014117118,0.013596463,0.013085041,0.01268131,0.012445548,0.012341606,0.01222486,0.012001316,0.011705535,0.0114116855,0.011229817,0.011204101,0.01133081,0.011432796,0.011329995,0.011004998,0.010689682,0.010686093,0.011012558,0.011449247,0.011644033,0.011524353,0.01119354,0.010865503,0.010644359,0.010546518,0.0106029315,0.010790796,0.011124129,0.011489488,0.011824028,0.012026973,0.012130257,0.012174286,0.0122139035,0.012251125,0.012288733,0.012358677,0.012410781,0.012353363,0.012048266,0.011552311,0.010992539,0.010567621,0.010311625,0.0101983845,0.010111908,0.010020698,0.009955985,0.010033071,0.010316337,0.0107426355,0.0111654885,0.011411175,0.011458255,0.011316636,0.011077299,0.010707355,0.010233015,0.009673725,0.009199009,0.008914941,0.008873151,0.008964305,0.009103037,0.0092274165,0.009340498,0.0093808165,0.009281803,0.008997955,0.008611879,0.0082292035,0.007920022,0.0076406375,0.0073309,0.0069915745,0.0066769687,0.0064501143,0.0063100997,0.0062577203,0.0062668617,0.006294064,0.006262069,0.0061360667,0.0059779566,0.005874785,0.0058496487,0.0058113174,0.0056694336,0.005427366,0.005196601,0.005079048,0.005087064,0.0051415022,0.0051555024,0.00507954,0.004915738,0.0046895114,0.004437768,0.0041830433,0.0039455495,0.003736559,0.0035711003,0.0034346215,0.0033047942,0.0031754647,0.0030887704,0.0030894103,0.0031657887,0.0032375737,0.0032186175,0.0030853832,0.002887983,0.0026915167,0.0025276716,0.002374719,0.0022073102,0.0020156798,0.0018251551,0.0016497356,0.001488978,0.001321446,0.0011427422,0.0009648015,0.0008059007,0.0006671679,0.0005356382,0.00040212835,0.00027493556,0.00017748581,0.00013370861]